Question

You bike for 2 hours at a speed no faster than 17.6 mph. Write an inequality that represents the possible number of miles you bike.

Answer 1

Let's say you biked as fast as you can at 17.6. 2 hrs later, you would have bike for 2*17.6 miles=35.2 miles. (d=rt) That means that your distance can be no greater than 35.2 and it can be no less than 0 because you can't bike a negative distance like -5 miles. So your inequality would be 0≤ d ≤35.2 where your d is distance

Answer 2

Total no. of hours you spent biking = 2 hours
the speed at which you rode your bike ≤ 17.6 mph
Now,
We have,
$speed = \frac{distance}{time}$

$17.6 = \frac{distance}{2}$

$17.6 *2= distance$

$35.2=distance$

So, you for given conditions, you can't travel more then 35.3 miles

So, the inequality for the given circumstances is:
x ≤ 35.2